Aproximarea Mertens

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Cezar Lupu
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Aproximarea Mertens

Post by Cezar Lupu »

Iata o aproximare a naibii de utila in teoria analitica a numerelor:

Sa se araste ca \( \prod_{p\leq x, p prim}\left(1-\frac{1}{p}\right) \sim \frac{e^{\gamma}}{\log x} \) unde \( \log x \) este logaritmul natural al lui \( x \), iar \( \gamma \) este constanta lui Euler.
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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